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Finding the Fourth Proportional to 12,293.71, 18,422.91 and 7,017.77

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Solution

The fourth proportional to 12,293.71, 18,422.91 and 7,017.77 is: 10,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.71 : 18,422.91 = 7,017.77 : x
  2. Step 2: Convert to fraction form
    12,293.71/18,422.91 = 7,017.77/x
  3. Step 3: Cross multiply
    12,293.71x = 18,422.91 × 7,017.77
  4. Step 4: Simplify right side
    12,293.71x = 129,287,791.17
  5. Step 5: Solve for x
    x = 129,287,791.17/12,293.71
  6. Step 6: Final answer
    x = 10,516.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.